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DM
2010
86views more  DM 2010»
13 years 10 months ago
Minimum congestion spanning trees in planar graphs
: The main purpose of the paper is to develop an approach to the evaluation or the estimation of the spanning tree congestion of planar graphs. This approach is used to evaluate th...
M. I. Ostrovskii
ESA
2004
Springer
137views Algorithms» more  ESA 2004»
14 years 3 months ago
Fast 3-Coloring Triangle-Free Planar Graphs
We show the first o(n2 ) algorithm for coloring vertices of trianglefree planar graphs using three colors. The time complexity of the algorithm is O(n log n). Our approach can be ...
Lukasz Kowalik
SODA
1998
ACM
128views Algorithms» more  SODA 1998»
13 years 11 months ago
A Polynomial-Time Approximation Scheme for Weighted Planar Graph TSP
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
Sanjeev Arora, Michelangelo Grigni, David R. Karge...
CORR
2008
Springer
74views Education» more  CORR 2008»
13 years 10 months ago
Shortest Vertex-Disjoint Two-Face Paths in Planar Graphs
Abstract. Let G be a directed planar graph of complexity n, each arc having a nonnegative length. Let s and t be two distinct faces of G; let s1, . . . , sk be vertices incident wi...
Éric Colin de Verdière, Alexander Sc...
ADHOC
2005
95views more  ADHOC 2005»
13 years 10 months ago
Planar graph routing on geographical clusters
Geographic routing protocols base their forwarding decisions on the location of the current device, its neighbors, and the packets destination. Early proposed heuristic greedy rou...
Hannes Frey, Daniel Görgen